Inverse problem of sprays with scalar curvature

DOI10.1142/S0129167X19500411zbMath1422.53062OpenAlexW2947622417WikidataQ127796638 ScholiaQ127796638MaRDI QIDQ5233989

Ying Li, Yao-Yong Yu, Xiaohuan Mo

Publication date: 9 September 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500411

zbMATH Keywords

sprayRicci curvatureFinsler metric\(H\)-curvature\(\chi\)-curvatureR-flat

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Submersion and homogeneous spray geometry ⋮ Sprays of weakly isotropic curvature ⋮ Parallel translations for a left invariant spray ⋮ On sprays of scalar curvature and metrizability ⋮ Unnamed Item ⋮ Inverse problem of left invariant sprays on Lie groups ⋮ On Sakaguchi-type result in projective spray geometry

Cites Work

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• Some classes of sprays in projective spray geometry
• Some constructions of projectively flat Finsler metrics
• Sur le problème inverse du calcul des variations : existence de lagrangiens associés à un spray dans le cas isotrope. (On the inverse problem of the variational calculus: existence of Lagrangians associated with a spray in the isotropic case.)
• On the classification of projectively flat Finsler metrics with constant flag curvature
• Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties
• A NEW QUANTITY IN RIEMANN-FINSLER GEOMETRY
• Ricci Curvature Tensor and Non-Riemannian Quantities
• Sprays of isotropic curvature
• Projectively flat Finsler metrics of constant flag curvature

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